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Finding the Fourth Proportional to 2,152.14, 3,227.94 and 852.36

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Solution

The fourth proportional to 2,152.14, 3,227.94 and 852.36 is: 1,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.14 : 3,227.94 = 852.36 : x
  2. Step 2: Convert to fraction form
    2,152.14/3,227.94 = 852.36/x
  3. Step 3: Cross multiply
    2,152.14x = 3,227.94 × 852.36
  4. Step 4: Simplify right side
    2,152.14x = 2,751,366.94
  5. Step 5: Solve for x
    x = 2,751,366.94/2,152.14
  6. Step 6: Final answer
    x = 1,278.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.